Carousel

CARROUSEL!!!

Harmony Austin, Sunshine Colvin, Katelyn Waltimyer

"An all wood carrousel with moving and stationary horses that spins counter-clockwise. Music is provided by a Wurlitzer model 153 military band organ." -Hershey Park website
The Carousel is available for all riders.
Also: accepted mass: 13200 kg
The video that made it all possible:




Lap Times:Trial 1

Lap #	Time (s)
1	29.54
2	14.26
3	13.49
4	11.66
5	12.30
6	11.91
7	12.00
8	11.06
9	15.23
10	20.33

Trial 2 Lap #	Time (s)
1	24.49
2	14.97
3	12.66
4	11.76
5	11.93
6	12.16
7	11.65
8	11.79
9	15.12
10	21.12

Measuring Diameter:

• Measured the circumference of the ride with string, which equaled 47.14 meters
  • C = 2r*3.14
  • 47.14 = 2r*3.14
  • r = 7.50 meters
• Hershey Park states that their diameter is 50ft
  • 50 ft = 15.24 m
  • 15.24 / 2 = 7.62 m (radius)
• Percent difference:
  • 1.57%
• Why: the string didn't go perfectly around the ride, at some points it caught on the horses

Position vs Time
Y Acceleration:

• On the outside, carrousel horse not moving, constant acceleration
  • Slope: 0, no acceleration
  • Y-Intercept = 9.75
  • Should be about 9.8 because that is gravitational acceleration
  • Error could be due to the fact that gravity is not the same value in all places or slight movement in the horse or person
• On inside, carrousel horse moving up and down
  • Acceleration when starting is 9.75, because the carrousel is not moving. This is the acceleration of gravity
  • From there the acceleration goes up and down in correspondence to the horse at its peak. The horse goes up to 11.7 m/s^2 and down to 6.9 m/s^2

X-Acceleration:

• The outside acceleration is usually higher than the inside acceleration. This is because the outside of the carrousel has to travel faster to cover a larger distance in the same amount of time.
• On the inside acceleration, it is more sporadic because the horse moves back and forth when it goes up and down. Hence why it starts negative because the horse moves backwards before it goes forward.
• At the end, they are both negative because the ride slowed down
• Stationary outside: Acceleration (max) = 1.3 m/s^2
  • Starting= 0 m/s^2
  • Ending/lowest: -.4 m/s^2
• Moving inside: A (max) = 1.1 m/s^2
  • Starting = -.4 m/s^2
  • Ending = -.4 m/s^2
  • lowest = -1.3 m/s^2

Period:

• starts large, decreases because speeding up begins at increase as it slows down
• Velocity: .2179 m/s

Force Conventional:

• Fc = mv^2/ r
• 83.57 N = Fc

Torque:

• t = Fc * r
• 626.78 N*m = t

Angular Velocity:

• v(t) = r * w
• w = .029 rad/s

Compared to the values given by Hershey Park:

• Force: 82.25 N => 1.6% error
• Torque: 626.75 N*m => .0048% error
• Angular Velocity: .029 rad/s => 0% error

GLX Data: